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* What is the least multiple of 15 whose digits consist only of 1's and 0's?
* Is 1027 a prime number?
* Does the price of a call option increase when volatility increases?
* 2 blue and 2 red balls, in a box, no replacing. Guess the colour of the ball, you receive a dollar if you are correct. What is the dollar amount you would pay to play this game?
* What is the singles digit for 2^230?
* In a poker game, players read opponents’ hands with 50% accuracy. Model the equilibrium bluffing frequency when raising all-in on a flush draw. Assume pot odds are 2:1.
* Why might two bonds issued by the same company with the same coupon/maturity be trading at different prices?
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* You’re on a game show with countably infinite doors. Behind one is a car; the rest have goats. After you pick a door, the host (who knows what’s behind all doors) opens all but one other door, revealing goats. Should you switch?
* There is a regular die and a special invisible die. You know that regular die has integers 1 to 6, but don't know what's on the invisible dice. After tossing, I speak the sum of outcome of both die. It so happens that the outcome is an integer between 1 to 12, with equal probability (1/12 each). Can you guess what are the numbers printed on special invisible dice?
* Two witches make a nightly visit to an all-night coffee shop. Each arrives at a random time between 0:00 and 1:00. Each one of them stays for exactly 30 minutes. On any one given night, what is the probability that the witches will meet at the coffee shop?
* In a repeated Prisoner’s Dilemma, what is the Nash equilibrium if both players use tit-for-tat strategies?
* In a repeated Prisoner’s Dilemma, what is the Nash equilibrium?
* A stick is broken into 3 parts, by choosing 2 points randomly along its length. With what probability can it form a triangle?
* p and q are two points chosen at random between 0 & 1. What is the probability that the ratio p/q lies between 1 & 2?
* A very innocent monkey throws a fair die. The monkey will eat as many bananas as are shown on the die, from 1 to 5. But if the die shows '6', the monkey will eat 5 bananas and throw the die again. This may continue indefinitely. What is the expected number of bananas the monkey will eat?